• Aim: How do we define the trigonometric ratios for angles of any size?

Try this as a review from yesterday's work. Write in terms of sine and cosine and write in simplest form:

sin x (csc x - sin x)

Today we will sketch angles on the Unit Circle, find reference angles, and use what we know about Quadrant I angles to solve for other quadrants. You may want to refer to the videos on page 3 to refresh on how to find reference angles and how to remember them.

Video 1

This video show you how to do this with radians. It is easier to convert to degrees first. You are able to convert everything to degrees if you would like.

Video 2


  • Classwork: Find the exact value for each:

1. sin (pi/3) 2. cot (2pi/3) 3. cos 3pi

4. sec 180 5. cos (-pi/6) 6. tan (-13pi/2)

  • Homework: Complete numbers 3-43 odd

8.5_Exact_Trig.JPG

  • Answers
A-8.5_Exact_Trig.JPG


  • Journal entry: Explain the advantage of using the unit circle to define the trigonometric ratio?